Subgroups — #35197373

Order 20224.

11618 conjugacy classes of subgroups.

The subgroup lattice has 1382 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19099398	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#14579206	C₂	1	1	yes	maximal, characteristic, complemented
3	#23777186	C₂	1	8	yes	maximal, complemented
4	#23777172	C₂	1	8	yes	maximal, complemented
5	#23777063	C₂	1	8	yes	maximal, complemented
6	#23777060	C₂	1	8	yes	maximal, complemented
7	#23777056	C₂	1	2	yes	maximal, complemented
8	#23777054	C₂	1	2	yes	maximal, complemented
9	#23777036	C₂	1	1	yes	maximal, characteristic, complemented
10	#23777035	C₂	1	1	yes	maximal, characteristic, complemented
11	#23777032	C₂	1	4	yes	maximal, complemented
12	#23777031	C₂	1	1	yes	maximal, characteristic, complemented
13	#23777029	C₂	1	4	yes	maximal, complemented
14	#23776730	C₂	1	2	yes	maximal, complemented
15	#23776726	C₂	1	4	yes	maximal, complemented
16	C₂×#19099128	C₂	1	4	yes	maximal, complemented
17	#535×D₇₉	C₂	1	2	yes	maximal, complemented
18	#23776598	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₉×#3484	C₂	1	1	yes	maximal, characteristic, complemented
20	#19099398	—	2	16	no	—
21	C₂×#14579208	C₂²	1	2	yes	complemented
22	C₂×#14579208	C₂²	1	4	yes	complemented
23	C₂×#14579206	—	2	16	no	—
24	C₂×#14579206	C₂²	1	8	yes	complemented
25	C₂×#14579206	C₂²	1	8	yes	complemented
26	C₂×#14579206	C₂²	1	4	yes	complemented
27	C₂×#14579206	C₂²	1	4	yes	complemented
28	C₂×#14579206	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#11929624	C₂²	1	1	yes	characteristic, complemented
30	C₂²×#11929624	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#11929623	C₂²	1	1	yes	characteristic
32	C₂²×#11929623	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#11929623	C₂²	1	2	yes	complemented
34	C₂²×#11929623	C₂²	1	4	yes	complemented
35	C₂²×#11929623	C₂²	1	4	yes	complemented
36	C₂×#41×D₇₉	C₂²	1	2	yes	complemented
37	C₂×#41×D₇₉	C₂²	1	4	yes	complemented
38	C₂³×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
39	C₂³×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
40	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
42	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
43	#19099234	C₂²	1	8	yes	complemented
44	#19099233	C₂²	1	8	yes	complemented
45	#19099231	C₂²	1	8	yes	complemented
46	#19099231	C₂²	1	8	yes	complemented
47	#19099223	C₂²	1	8	yes	complemented
48	#19099222	C₂²	1	8	yes	complemented
49	#19099221	C₂²	1	8	yes	complemented
50	#19099219	C₂²	1	8	yes	complemented
51	#19099208	C₂²	1	8	yes	complemented
52	#19099207	C₂²	1	8	yes	complemented
53	#19099205	C₂²	1	16	yes	complemented
54	#19099203	C₂²	1	16	yes	complemented
55	#19099202	C₂²	1	16	yes	complemented
56	#19099201	C₂²	1	8	yes	complemented
57	#19099200	C₂²	1	16	yes	complemented
58	D₄×D₃₁₆	C₂²	1	8	yes	complemented
59	#19099197	C₂²	1	16	yes	complemented
60	D₄×C₂²⋊D₇₉	C₂²	1	8	yes	complemented
61	D₄×C₂²⋊D₇₉	C₂²	1	8	yes	complemented
62	D₄×C₂²⋊D₇₉	C₂²	1	16	yes	complemented
63	#19099195	C₂²	1	16	yes	complemented
64	#19099195	C₂²	1	16	yes	complemented
65	#19099143	C₂²	1	4	yes	complemented
66	#19099142	C₂²	1	4	yes	complemented
67	#19099140	C₂²	1	16	yes	complemented
68	#19099136	C₂²	1	4	yes	complemented
69	#19099135	C₂²	1	4	yes	complemented
70	#19099135	C₂²	1	8	yes	complemented
71	#19099132	C₂²	1	2	yes	complemented
72	#19099131	C₂²	1	4	yes	complemented
73	#19099130	C₂²	1	2	yes	complemented
74	#19099129	C₂²	1	4	yes	complemented
75	#19099129	C₂²	1	8	yes	complemented
76	#19099128	C₂²	1	8	yes	complemented
77	#19099128	C₂²	1	8	yes	complemented
78	#19099128	C₂²	1	8	yes	complemented
79	#19099128	C₂²	1	4	yes	complemented
80	#19099128	C₂²	1	8	yes	complemented
81	#19099128	C₂²	1	16	yes	complemented
82	#19099128	C₂²	1	16	yes	complemented
83	#19099127	C₂²	1	2	yes	complemented
84	#19099126	C₂²	1	4	yes	complemented
85	#19099125	C₂²	1	4	yes	complemented
86	#19099124	C₂²	1	4	yes	complemented
87	#19099123	C₂²	1	4	yes	complemented
88	#19099122	C₂²	1	4	yes	complemented
89	#19099122	C₂²	1	4	yes	complemented
90	#19099110	C₂²	1	8	yes	complemented
91	#19099108	C₂²	1	16	yes	complemented
92	C₂×#14579157	C₂²	1	8	yes	complemented
93	#127×D₇₉	C₂²	1	4	yes	complemented
94	C₂×#14579147	C₂²	1	8	yes	complemented
95	#124×D₇₉	C₂²	1	4	yes	complemented
96	#19099075	C₂²	1	2	yes	complemented
97	#19099074	C₂²	1	2	yes	complemented
98	#19099072	C₂²	1	8	yes	complemented
99	#19099071	C₂²	1	8	yes	complemented
100	#19099071	C₂²	1	8	yes	complemented
101	#19099070	C₂²	1	2	yes	complemented
102	#19099069	C₂²	1	8	yes	complemented
103	#19099069	C₂²	1	8	yes	complemented
104	C₂×#14579134	C₂²	1	8	yes	complemented
105	C₂×#14579133	C₂²	1	8	yes	complemented
106	#121×D₇₉	C₂²	1	8	yes	complemented
107	C₂×#14579131	C₂²	1	4	yes	complemented
108	C₂×#14579130	C₂²	1	4	yes	complemented
109	C₂×#14579129	C₂²	1	4	yes	complemented
110	#120×D₇₉	C₂²	1	8	yes	complemented
111	#19099042	C₂²	1	8	yes	complemented
112	#19099040	C₂²	1	2	yes	complemented
113	#19099038	C₂²	1	1	yes	characteristic, complemented
114	#19099036	C₂²	1	4	yes	complemented
115	C₄×#11929623	C₂²	1	8	yes	complemented
116	C₂×#14579117	C₂²	1	4	yes	complemented
117	#117×D₇₉	C₂²	1	2	yes	complemented
118	C₂×H(5,𝔽₂)×C₇₉	C₂²	1	1	yes	characteristic, complemented
119	C₂³×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
120	#546×C₇₉	C₂²	1	8	yes	complemented
121	D₄²×C₇₉	C₂²	1	8	yes	complemented
122	#535×C₇₉	C₂²	1	2	yes	complemented
123	#534×C₇₉	C₂²	1	4	yes	complemented
124	#525×C₇₉	C₂²	1	2	yes	complemented
125	C₂×#120×C₇₉	C₂²	1	4	yes	complemented
126	#518×C₇₉	C₂²	1	1	yes	characteristic, complemented
127	C₂⁴×D₇₉	C₂³	1	2	yes	—
128	C₂⁴×D₇₉	C₂³	1	2	yes	—
129	#14579208	—	2	32	no	—
130	#14579208	—	2	16	no	—
131	#14579206	—	2	8	no	—
132	#14579206	—	2	64	no	—
133	#14579206	—	2	64	no	—
134	#14579206	—	2	32	no	—
135	#14579206	—	2	32	no	—
136	C₂×#11929625	C₂³	1	2	yes	complemented
137	C₂×#11929624	—	2	8	no	—
138	C₂×#11929624	—	2	8	no	—
139	C₂×#11929624	C₂³	1	4	yes	—
140	C₂×#11929624	C₂³	1	4	yes	—
141	C₂×#11929624	C₂³	1	8	yes	—
142	C₂×#11929624	C₂³	1	2	yes	—
143	C₂×#11929624	C₂³	1	8	yes	complemented
144	C₂×#11929624	C₂³	1	4	yes	complemented
145	C₂×#11929624	C₂³	1	4	yes	complemented
146	C₂×#11929623	—	2	32	no	—
147	C₂×#11929623	—	2	8	no	—
148	C₂×#11929623	—	2	16	no	—
149	C₂×#11929623	—	2	32	no	—
150	C₂×#11929623	D₄	1	16	yes	complemented
151	C₂×#11929623	C₂³	1	8	yes	—
152	C₂×#11929623	C₂³	1	8	yes	—
153	C₂×#11929623	C₂³	1	8	yes	—
154	C₂×#11929623	C₂³	1	8	yes	—
155	C₂×#11929623	C₂³	1	4	yes	—
156	C₂×#11929623	C₂³	1	4	yes	—
157	C₂×#11929623	C₂³	1	4	yes	—
158	C₂×#11929623	C₂³	1	8	yes	complemented
159	C₂×#11929623	C₂³	1	4	yes	complemented
160	C₂×#11929623	C₂³	1	4	yes	complemented
161	C₂×#11929623	C₂³	1	8	yes	complemented
162	C₂×#11929623	C₂³	1	8	yes	complemented
163	C₂×#11929623	C₂³	1	2	yes	complemented
164	#41×D₇₉	—	2	32	no	—
165	#41×D₇₉	—	2	16	no	—
166	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
167	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
168	C₂²×Dic₁₅₈	C₂³	1	4	yes	complemented
169	C₂²×Dic₁₅₈	C₂³	1	4	yes	complemented
170	C₂×Q₈×D₇₉	C₂³	1	2	yes	complemented
171	C₂×Q₈×D₇₉	C₂³	1	4	yes	complemented
172	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
173	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
174	C₂²×D₃₁₆	C₂³	1	8	yes	complemented
175	C₂²×C₂²⋊D₇₉	—	2	16	no	—
176	C₂²×C₂²⋊D₇₉	—	2	16	no	—
177	C₂²×C₂²⋊D₇₉	C₂³	1	16	yes	—
178	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
179	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	—
180	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	—
181	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
182	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
183	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
184	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
185	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
186	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
187	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
188	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
189	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
190	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
191	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
192	C₂×D₄×D₇₉	—	2	8	no	—
193	C₂×D₄×D₇₉	—	2	16	no	—
194	C₂×D₄×D₇₉	—	2	8	no	—
195	C₂×D₄×D₇₉	C₂³	1	16	yes	—
196	C₂×D₄×D₇₉	C₂³	1	8	yes	—
197	C₂×D₄×D₇₉	C₂³	1	4	yes	—
198	C₂×D₄×D₇₉	C₂³	1	4	yes	—
199	C₂×D₄×D₇₉	C₂³	1	4	yes	—
200	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
201	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
202	C₂×D₄×D₇₉	C₂³	1	2	yes	complemented
203	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
204	C₂³×Dic₇₉	C₂³	1	2	yes	—
205	C₂³×Dic₇₉	C₂³	1	2	yes	—
206	C₂³×Dic₇₉	C₂³	1	4	yes	complemented
207	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
209	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₇₉	C₂³	1	4	yes	complemented
211	C₂²×C₄×D₇₉	C₂³	1	4	yes	complemented
212	#14579160	C₂³	1	8	yes	complemented
213	#14579158	C₂³	1	4	yes	complemented
214	#14579157	C₂³	1	16	yes	complemented
215	#14579157	C₂³	1	16	yes	complemented
216	#14579157	C₂³	1	4	yes	complemented
217	#14579157	C₂³	1	4	yes	complemented
218	#14579157	C₂³	1	16	yes	complemented
219	#14579157	C₂³	1	8	yes	complemented
220	#14579150	C₂³	1	4	yes	complemented
221	#14579149	C₂³	1	4	yes	complemented
222	#14579148	C₂³	1	4	yes	complemented
223	#14579147	C₂³	1	8	yes	complemented
224	#14579147	C₂³	1	16	yes	complemented
225	#14579147	C₂³	1	16	yes	complemented
226	#14579147	C₂³	1	16	yes	complemented
227	#14579147	C₂³	1	8	yes	complemented
228	#14579146	C₂³	1	8	yes	complemented
229	#14579145	C₂³	1	4	yes	—
230	#14579145	C₂³	1	8	yes	complemented
231	#14579144	C₂³	1	4	yes	—
232	#14579144	C₂³	1	8	yes	complemented
233	#14579143	C₂³	1	8	yes	complemented
234	#14579142	C₂³	1	4	yes	—
235	#14579142	C₂³	1	8	yes	complemented
236	#14579141	C₂³	1	4	yes	complemented
237	#14579140	C₂³	1	4	yes	complemented
238	#14579139	C₂³	1	8	yes	complemented
239	#14579139	C₂³	1	16	yes	complemented
240	#14579138	C₂³	1	8	yes	complemented
241	#14579138	C₂³	1	16	yes	complemented
242	#14579137	C₂³	1	4	yes	complemented
243	#14579136	C₂³	1	8	yes	complemented
244	#14579136	C₂³	1	4	yes	complemented
245	#14579136	C₂³	1	8	yes	complemented
246	#14579135	C₂³	1	16	yes	complemented
247	#14579135	C₂³	1	4	yes	complemented
248	#14579135	C₂³	1	8	yes	complemented
249	#14579134	C₂³	1	16	yes	complemented
250	#14579134	C₂³	1	16	yes	complemented
251	#14579134	C₂³	1	8	yes	complemented
252	#14579134	C₂³	1	8	yes	complemented
253	#14579134	C₂³	1	8	yes	complemented
254	#14579134	C₂³	1	16	yes	complemented
255	#14579134	C₂³	1	16	yes	complemented
256	#14579133	C₂³	1	16	yes	complemented
257	#14579133	C₂³	1	16	yes	complemented
258	#14579133	C₂³	1	16	yes	complemented
259	#14579133	C₂³	1	16	yes	complemented
260	#14579133	C₂³	1	8	yes	complemented
261	#14579133	C₂³	1	16	yes	complemented
262	#14579133	C₂³	1	16	yes	complemented
263	#14579132	C₂³	1	8	yes	complemented
264	#14579132	C₂³	1	4	yes	complemented
265	#14579132	C₂³	1	8	yes	complemented
266	#14579131	C₂³	1	8	yes	—
267	#14579131	C₂³	1	4	yes	—
268	#14579131	C₂³	1	8	yes	complemented
269	#14579131	C₂³	1	8	yes	complemented
270	#14579131	C₂³	1	16	yes	complemented
271	#14579131	C₂³	1	16	yes	complemented
272	#14579130	C₂³	1	8	yes	—
273	#14579130	C₂³	1	4	yes	—
274	#14579130	C₂³	1	8	yes	complemented
275	#14579130	C₂³	1	16	yes	complemented
276	#14579129	C₂³	1	8	yes	—
277	#14579129	C₂³	1	4	yes	—
278	#14579129	C₂³	1	8	yes	complemented
279	#14579129	C₂³	1	16	yes	complemented
280	#14579129	C₂³	1	8	yes	complemented
281	#14579129	C₂³	1	16	yes	complemented
282	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
283	#14579126	C₂³	1	8	yes	complemented
284	C₄×D₃₁₆	C₂³	1	8	yes	complemented
285	D₄×Dic₇₉	C₂³	1	8	yes	complemented
286	D₄×Dic₇₉	C₂³	1	16	yes	complemented
287	#14579123	C₂³	1	16	yes	complemented
288	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
289	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
290	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
291	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
292	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
293	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
294	#14579120	C₂³	1	2	yes	—
295	#14579119	C₂³	1	4	yes	complemented
296	#14579118	C₂³	1	4	yes	complemented
297	#14579117	C₂³	1	4	yes	—
298	#14579117	C₂³	1	8	yes	—
299	#14579117	C₂³	1	8	yes	complemented
300	#14579117	C₂³	1	8	yes	complemented
301	C₂×Dic₇₉⋊C₄	C₂³	1	8	yes	complemented
302	C₄⋊C₄×D₇₉	C₂³	1	4	yes	complemented
303	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
304	C₂×C₂²⋊Dic₇₉	C₂³	1	8	yes	complemented
305	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
306	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
307	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
308	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
309	C₂×C₄×Dic₇₉	C₂³	1	8	yes	complemented
310	C₄²×D₇₉	C₂³	1	4	yes	complemented
311	C₂⁵×C₇₉	C₂³	1	2	yes	—
312	H(5,𝔽₂)×C₇₉	—	2	8	no	—
313	C₂×#41×C₇₉	C₂³	1	2	yes	—
314	C₂×#41×C₇₉	C₂³	1	4	yes	complemented
315	C₂²×D₄×C₇₉	—	2	8	no	—
316	C₂²×D₄×C₇₉	C₂³	1	8	yes	—
317	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
318	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
319	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
320	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
321	C₂²×D₄×C₇₉	C₂³	1	4	yes	complemented
322	C₂²×D₄×C₇₉	C₂³	1	8	yes	complemented
323	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
324	#127×C₇₉	C₂³	1	4	yes	complemented
325	#124×C₇₉	C₂³	1	4	yes	complemented
326	#123×C₇₉	C₂³	1	4	yes	—
327	#123×C₇₉	C₂³	1	8	yes	complemented
328	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	complemented
329	#121×C₇₉	C₂³	1	16	yes	complemented
330	#121×C₇₉	C₂³	1	4	yes	complemented
331	#121×C₇₉	C₂³	1	8	yes	complemented
332	#120×C₇₉	C₂³	1	4	yes	—
333	#120×C₇₉	C₂³	1	8	yes	—
334	#120×C₇₉	C₂³	1	8	yes	complemented
335	#120×C₇₉	C₂³	1	16	yes	complemented
336	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
337	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
338	#117×C₇₉	C₂³	1	2	yes	—
339	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	—
340	C₂×C₂²⋊C₄×C₇₉	C₂³	1	8	yes	complemented
341	C₂³×D₇₉	—	2	8	no	—
342	C₂³×D₇₉	—	2	8	no	—
343	C₂³×D₇₉	—	8	4	no	—
344	C₂³×D₇₉	—	8	4	no	—
345	C₂³×D₇₉	C₂⁴	1	2	yes	—
346	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
347	C₂³×D₇₉	C₂⁴	1	8	yes	—
348	C₂³×D₇₉	C₂⁴	1	8	yes	—
349	C₂³×D₇₉	C₂⁴	1	4	yes	—
350	C₂³×D₇₉	C₂⁴	1	4	yes	—
351	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
352	#11929625	—	2	8	no	—
353	#11929624	—	2	16	no	—
354	#11929624	—	2	16	no	—
355	#11929624	—	2	16	no	—
356	#11929624	—	2	16	no	—
357	#11929624	—	2	32	no	—
358	#11929624	—	2	8	no	—
359	#11929624	—	2	32	no	—
360	#11929623	—	2	16	no	—
361	#11929623	—	2	32	no	—
362	#11929623	—	2	32	no	—
363	#11929623	—	2	32	no	—
364	#11929623	—	2	32	no	—
365	#11929623	—	2	32	no	—
366	#11929623	—	2	8	no	—
367	#11929623	—	2	32	no	—
368	#11929623	—	2	16	no	—
369	#11929623	—	2	16	no	—
370	#11929623	—	2	32	no	—
371	#11929623	C₂×D₄	1	32	yes	complemented
372	#11929623	C₂×D₄	1	32	yes	complemented
373	C₂×Dic₁₅₈	—	2	4	no	—
374	C₂×Dic₁₅₈	—	2	16	no	—
375	C₂×Dic₁₅₈	—	2	16	no	—
376	C₂×Dic₁₅₈	C₂×D₄	1	8	yes	complemented
377	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
378	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
379	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
380	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
381	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
382	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
383	Q₈×D₇₉	—	2	8	no	—
384	Q₈×D₇₉	—	2	16	no	—
385	C₂×D₃₁₆	—	2	4	no	—
386	C₂×D₃₁₆	—	2	4	no	—
387	C₂×D₃₁₆	—	8	8	no	—
388	C₂×D₃₁₆	C₂⁴	1	4	yes	—
389	C₂×D₃₁₆	C₂⁴	1	4	yes	—
390	C₂×D₃₁₆	C₂⁴	1	2	yes	—
391	C₂×D₃₁₆	C₂⁴	1	4	yes	—
392	C₂×D₃₁₆	C₂⁴	1	16	yes	—
393	C₂×D₃₁₆	C₂⁴	1	8	yes	—
394	C₂×C₂²⋊D₇₉	—	2	16	no	—
395	C₂×C₂²⋊D₇₉	—	2	8	no	—
396	C₂×C₂²⋊D₇₉	—	2	8	no	—
397	C₂×C₂²⋊D₇₉	—	2	8	no	—
398	C₂×C₂²⋊D₇₉	—	2	4	no	—
399	C₂×C₂²⋊D₇₉	—	2	32	no	—
400	C₂×C₂²⋊D₇₉	—	2	32	no	—
401	C₂×C₂²⋊D₇₉	—	2	16	no	—
402	C₂×C₂²⋊D₇₉	—	2	8	no	—
403	C₂×C₂²⋊D₇₉	—	2	4	no	—
404	C₂×C₂²⋊D₇₉	—	2	32	no	—
405	C₂×C₂²⋊D₇₉	—	2	64	no	—
406	C₂×C₂²⋊D₇₉	—	8	8	no	—
407	C₂×C₂²⋊D₇₉	—	8	8	no	—
408	C₂×C₂²⋊D₇₉	C₂×D₄	1	16	yes	complemented
409	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
410	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
411	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
412	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
413	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
414	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
415	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
416	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
417	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
418	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
419	C₂×C₂²⋊D₇₉	C₂⁴	1	2	yes	—
420	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
421	C₂×C₂²⋊D₇₉	C₂⁴	1	2	yes	—
422	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
423	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
424	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
425	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
426	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
427	D₄×D₇₉	—	2	8	no	—
428	D₄×D₇₉	—	2	16	no	—
429	D₄×D₇₉	—	2	16	no	—
430	D₄×D₇₉	—	2	16	no	—
431	D₄×D₇₉	—	2	16	no	—
432	D₄×D₇₉	—	2	32	no	—
433	D₄×D₇₉	—	2	32	no	—
434	D₄×D₇₉	—	2	64	no	—
435	D₄×D₇₉	—	8	16	no	—
436	C₂²×Dic₇₉	—	2	16	no	—
437	C₂²×Dic₇₉	—	2	8	no	—
438	C₂²×Dic₇₉	C₂×D₄	1	16	yes	complemented
439	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
441	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
442	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
443	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
444	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
445	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
446	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
448	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
449	C₂×C₄×D₇₉	—	2	16	no	—
450	C₂×C₄×D₇₉	—	2	8	no	—
451	C₂×C₄×D₇₉	—	2	16	no	—
452	C₂×C₄×D₇₉	—	2	4	no	—
453	C₂×C₄×D₇₉	C₂×D₄	1	8	yes	complemented
454	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
455	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
456	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
457	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
458	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
459	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
460	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
461	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
462	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
463	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
464	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
465	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
466	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
467	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
468	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
469	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
470	C₂²⋊Dic₇₉	C₂⁴	1	16	yes	—
471	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
472	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
473	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
474	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
475	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
476	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
477	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
478	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
479	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
480	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
481	C₄×Dic₇₉	C₂⁴	1	8	yes	—
482	C₄×Dic₇₉	C₂⁴	1	4	yes	—
483	C₄×Dic₇₉	C₂⁴	1	16	yes	—
484	C₂⁴×C₇₉	—	2	8	no	—
485	C₂⁴×C₇₉	—	8	4	no	—
486	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
487	C₂⁴×C₇₉	C₂⁴	1	8	yes	—
488	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
489	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
490	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
491	#41×C₇₉	—	2	16	no	—
492	#41×C₇₉	—	2	8	no	—
493	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
494	C₂×D₄×C₇₉	—	2	16	no	—
495	C₂×D₄×C₇₉	—	2	8	no	—
496	C₂×D₄×C₇₉	—	2	16	no	—
497	C₂×D₄×C₇₉	—	2	32	no	—
498	C₂×D₄×C₇₉	—	2	4	no	—
499	C₂×D₄×C₇₉	—	8	8	no	—
500	C₂×D₄×C₇₉	C₂×D₄	1	8	yes	complemented
501	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
502	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
503	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
504	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
505	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
506	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
507	C₂×D₄×C₇₉	C₂⁴	1	16	yes	—
508	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
509	C₂²×C₄×C₇₉	—	2	4	no	—
510	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
512	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
513	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
514	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
515	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
516	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
517	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
518	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
519	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
520	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
521	C₂²⋊C₄×C₇₉	C₂⁴	1	16	yes	—
522	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
523	C₄²×C₇₉	C₂⁴	1	4	yes	—
524	C₂³×C₇₉	—	2	4	no	—
525	C₂³×C₇₉	—	2	2	no	—
526	C₂³×C₇₉	—	2	8	no	—
527	C₂³×C₇₉	—	2	16	no	—
528	C₂³×C₇₉	—	4	4	no	—
529	C₂³×C₇₉	—	4	4	no	—
530	C₂³×C₇₉	—	4	2	no	—
531	C₂³×C₇₉	—	4	8	no	—
532	C₂³×C₇₉	—	4	8	no	—
533	C₂³×C₇₉	—	4	8	no	—
534	C₂³×C₇₉	—	8	16	no	—
535	C₂³×C₇₉	C₂²×D₄	1	8	yes	—
536	C₂³×C₇₉	C₂⁵	1	4	yes	—
537	C₂³×C₇₉	C₂⁵	1	2	yes	—
538	C₂³×C₇₉	C₂⁵	1	4	yes	—
539	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
540	C₂³×C₇₉	C₂⁵	1	4	yes	—
541	C₂²×D₇₉	—	2	4	no	—
542	C₂²×D₇₉	—	2	2	no	—
543	C₂²×D₇₉	—	2	8	no	—
544	C₂²×D₇₉	—	2	16	no	—
545	C₂²×D₇₉	—	2	8	no	—
546	C₂²×D₇₉	—	2	16	no	—
547	C₂²×D₇₉	—	4	2	no	—
548	C₂²×D₇₉	—	4	2	no	—
549	C₂²×D₇₉	—	4	4	no	—
550	C₂²×D₇₉	—	4	8	no	—
551	C₂²×D₇₉	—	4	16	no	—
552	C₂²×D₇₉	—	4	8	no	—
553	C₂²×D₇₉	—	4	8	no	—
554	C₂²×D₇₉	—	4	8	no	—
555	C₂²×D₇₉	—	8	16	no	—
556	C₂²×D₇₉	—	8	16	no	—
557	C₂²×D₇₉	C₂²×D₄	1	4	yes	—
558	C₂²×D₇₉	C₂⁵	1	2	yes	—
559	C₂²×D₇₉	C₂⁵	1	4	yes	—
560	C₂²×D₇₉	C₂⁵	1	4	yes	—
561	C₂²×D₇₉	C₂⁵	1	2	yes	—
562	Q₈×C₇₉	—	2	4	no	—
563	D₄×C₇₉	—	2	16	no	—
564	D₄×C₇₉	—	2	16	no	—
565	D₄×C₇₉	—	2	8	no	—
566	D₄×C₇₉	—	2	8	no	—
567	D₄×C₇₉	—	2	4	no	—
568	D₄×C₇₉	—	4	16	no	—
569	D₄×C₇₉	—	4	8	no	—
570	D₄×C₇₉	C₂²×D₄	1	16	yes	—
571	C₂×C₄×C₇₉	—	2	2	no	—
572	C₂×C₄×C₇₉	—	2	8	no	—
573	C₂×C₄×C₇₉	—	2	8	no	—
574	C₂×C₄×C₇₉	—	2	8	no	—
575	C₂×C₄×C₇₉	—	4	8	no	—
576	C₂×C₄×C₇₉	C₂²×D₄	1	4	yes	—
577	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
578	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
579	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
580	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
581	C₂²⋊D₇₉	—	2	16	no	—
582	C₂²⋊D₇₉	—	2	16	no	—
583	C₂²⋊D₇₉	—	2	8	no	—
584	C₂²⋊D₇₉	—	2	8	no	—
585	C₂²⋊D₇₉	—	2	8	no	—
586	C₂²⋊D₇₉	—	2	8	no	—
587	C₂²⋊D₇₉	—	2	16	no	—
588	C₂²⋊D₇₉	—	2	8	no	—
589	C₂²⋊D₇₉	—	2	8	no	—
590	C₂²⋊D₇₉	—	2	16	no	—
591	C₂²⋊D₇₉	—	2	4	no	—
592	C₂²⋊D₇₉	—	2	16	no	—
593	C₂²⋊D₇₉	—	2	4	no	—
594	C₂²⋊D₇₉	—	4	16	no	—
595	C₂²⋊D₇₉	—	4	16	no	—
596	C₂²⋊D₇₉	—	4	8	no	—
597	C₂²⋊D₇₉	—	4	8	no	—
598	C₂²⋊D₇₉	C₂²×D₄	1	32	yes	—
599	C₂×Dic₇₉	—	2	2	no	—
600	C₂×Dic₇₉	—	2	8	no	—
601	C₂×Dic₇₉	—	2	8	no	—
602	C₂×Dic₇₉	—	2	16	no	—
603	C₂×Dic₇₉	—	2	16	no	—
604	C₂×Dic₇₉	—	4	8	no	—
605	C₂×Dic₇₉	C₂²×D₄	1	8	yes	—
606	C₂×Dic₇₉	C₂²×D₄	1	16	yes	—
607	C₂×Dic₇₉	C₂²×D₄	1	4	yes	—
608	C₂×Dic₇₉	C₂²×D₄	1	16	yes	—
609	C₂×Dic₇₉	C₂⁵	1	8	yes	—
610	C₂×Dic₇₉	C₂⁵	1	4	yes	—
611	C₂×Dic₇₉	C₂⁵	1	2	yes	—
612	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
613	C₂×Dic₇₉	C₂⁵	1	4	yes	—
614	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
615	D₃₁₆	—	2	8	no	—
616	D₃₁₆	—	2	8	no	—
617	D₃₁₆	—	2	8	no	—
618	D₃₁₆	—	2	4	no	—
619	D₃₁₆	—	4	16	no	—
620	D₃₁₆	—	4	8	no	—
621	C₄×D₇₉	—	2	8	no	—
622	C₄×D₇₉	—	2	8	no	—
623	C₄×D₇₉	—	2	8	no	—
624	C₄×D₇₉	—	2	8	no	—
625	C₄×D₇₉	—	2	16	no	—
626	C₄×D₇₉	—	2	16	no	—
627	C₄×D₇₉	—	4	8	no	—
628	C₄×D₇₉	C₂²×D₄	1	8	yes	—
629	C₄×D₇₉	C₂²×D₄	1	8	yes	—
630	Dic₁₅₈	—	2	4	no	—
631	Dic₁₅₈	—	2	8	no	—
632	Dic₁₅₈	—	2	16	no	—
633	Dic₁₅₈	—	2	4	no	—
634	Dic₁₅₈	—	2	4	no	—
635	Dic₁₅₈	C₂²×D₄	1	16	yes	—
636	C₂²×C₇₉	—	2	8	no	—
637	C₂²×C₇₉	—	2	2	no	—
638	C₂²×C₇₉	—	2	2	no	—
639	C₂²×C₇₉	—	2	4	no	—
640	C₂²×C₇₉	—	2	4	no	—
641	C₂²×C₇₉	—	2	2	no	—
642	C₂²×C₇₉	—	2	8	no	—
643	C₂²×C₇₉	—	2	8	no	—
644	C₂²×C₇₉	—	2	2	no	—
645	C₂²×C₇₉	—	4	8	no	—
646	C₂²×C₇₉	—	4	8	no	—
647	C₂²×C₇₉	—	4	4	no	—
648	C₂²×C₇₉	—	8	8	no	—
649	C₂²×C₇₉	—	8	16	no	—
650	C₂²×C₇₉	C₂³×D₄	1	8	yes	—
651	C₂²×C₇₉	C₂³×D₄	1	2	yes	—
652	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
653	C₂×D₇₉	—	2	4	no	—
654	C₂×D₇₉	—	2	4	no	—
655	C₂×D₇₉	—	2	2	no	—
656	C₂×D₇₉	—	2	4	no	—
657	C₂×D₇₉	—	2	2	no	—
658	C₂×D₇₉	—	2	8	no	—
659	C₂×D₇₉	—	2	8	no	—
660	C₂×D₇₉	—	2	2	no	—
661	C₂×D₇₉	—	4	4	no	—
662	C₂×D₇₉	—	4	4	no	—
663	C₂×D₇₉	—	4	8	no	—
664	C₂×D₇₉	—	8	8	no	—
665	C₂×D₇₉	—	8	16	no	—
666	C₂×D₇₉	—	8	8	no	—
667	C₂×D₇₉	—	8	16	no	—
668	C₂×D₇₉	C₂³×D₄	1	4	yes	—
669	C₄×C₇₉	—	2	2	no	—
670	C₄×C₇₉	—	2	4	no	—
671	C₄×C₇₉	—	2	8	no	—
672	C₄×C₇₉	C₂³×D₄	1	4	yes	—
673	Dic₇₉	—	2	2	no	—
674	Dic₇₉	—	2	4	no	—
675	Dic₇₉	—	2	8	no	—
676	Dic₇₉	C₂³×D₄	1	2	yes	—
677	Dic₇₉	C₂³×D₄	1	8	yes	—
678	Dic₇₉	C₂³×D₄	1	2	yes	—
679	#62852	—	79	1	no	maximal, Sylow
680	C₂×C₇₉	—	2	2	no	—
681	C₂×C₇₉	—	2	8	no	—
682	C₂×C₇₉	—	4	4	no	—
683	C₂×C₇₉	—	4	4	no	—
684	C₂×C₇₉	—	4	2	no	—
685	C₂×C₇₉	C₂⁴×D₄	1	1	yes	characteristic
686	C₂×C₇₉	H(7,𝔽₂)	1	2	yes	—
687	D₇₉	—	2	4	no	—
688	D₇₉	—	4	2	no	—
689	D₇₉	—	4	4	no	—
690	D₇₉	—	4	4	no	—
691	C₂×#585	—	79	1	no	—
692	C₂²×H(5,𝔽₂)	—	79	1	no	—
693	#3500	—	79	8	no	—
694	#3498	—	79	8	no	—
695	#3488	—	79	8	no	—
696	#3488	—	79	8	no	—
697	#3487	—	79	2	no	—
698	#3487	—	79	2	no	—
699	#3484	—	79	1	no	—
700	#3484	—	79	1	no	—
701	#3484	—	79	4	no	—
702	#3484	—	79	4	no	—
703	#3484	—	79	1	no	—
704	#3484	D₇₉	1	1	yes	characteristic, complemented
705	#3449	—	79	4	no	—
706	#3449	—	79	2	no	—
707	C₂×#535	—	79	2	no	—
708	C₂×#535	—	79	4	no	—
709	#3428	—	79	1	no	—
710	C₇₉	#62852	1	1	yes	characteristic, complemented, Sylow
711	#585	—	158	16	no	—
712	C₂×2₋¹⁺⁴	—	79	2	no	—
713	C₂×2₋¹⁺⁴	—	79	4	no	—
714	C₂×H(5,𝔽₂)	—	79	8	no	—
715	C₂×H(5,𝔽₂)	—	79	8	no	—
716	C₂×H(5,𝔽₂)	—	79	4	no	—
717	C₂×H(5,𝔽₂)	—	79	1	no	—
718	C₂×H(5,𝔽₂)	—	79	4	no	—
719	C₂×H(5,𝔽₂)	—	158	16	no	—
720	C₂×H(5,𝔽₂)	C₂×D₇₉	1	1	yes	characteristic, complemented
721	C₂²×#41	—	79	2	no	—
722	C₂²×#41	—	79	4	no	—
723	C₂²×#41	—	79	1	no	—
724	C₂²×#41	—	79	2	no	—
725	C₂²×#41	—	79	1	no	—
726	C₂²×#41	—	79	4	no	—
727	C₂²×#41	—	79	4	no	—
728	C₂²×#41	—	79	1	no	—
729	C₂²×#41	—	79	1	no	—
730	C₂³×D₄	—	79	2	no	—
731	C₂³×D₄	—	79	2	no	—
732	C₂³×D₄	—	79	1	no	—
733	C₂³×D₄	—	79	2	no	—
734	C₂³×D₄	—	79	1	no	—
735	C₂³×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
736	#550	—	79	8	no	—
737	#550	—	79	8	no	—
738	#550	—	79	8	no	—
739	#550	—	79	8	no	—
740	#548	—	79	8	no	—
741	#548	—	79	8	no	—
742	#548	—	79	8	no	—
743	#548	—	79	8	no	—
744	#546	—	79	8	no	—
745	#546	—	79	8	no	—
746	#546	—	79	16	no	—
747	#546	—	79	16	no	—
748	#546	—	79	16	no	—
749	#546	—	79	8	no	—
750	#546	—	79	16	no	—
751	#546	C₂×D₇₉	1	8	yes	complemented
752	D₄²	—	79	8	no	—
753	D₄²	—	79	8	no	—
754	D₄²	—	79	16	no	—
755	D₄²	—	79	16	no	—
756	D₄²	—	79	16	no	—
757	D₄²	—	79	16	no	—
758	D₄²	—	79	8	no	—
759	D₄²	C₂×D₇₉	1	8	yes	complemented
760	#537	—	79	4	no	—
761	#537	—	79	16	no	—
762	#537	—	79	4	no	—
763	#536	—	79	4	no	—
764	#536	—	79	8	no	—
765	#536	—	79	4	no	—
766	#535	—	79	2	no	—
767	#535	—	79	2	no	—
768	#535	—	79	4	no	—
769	#535	—	79	4	no	—
770	#535	—	79	8	no	—
771	#535	—	79	4	no	—
772	#535	—	79	8	no	—
773	#535	—	79	4	no	—
774	#535	—	79	8	no	—
775	#535	—	79	8	no	—
776	#535	—	79	16	no	—
777	#535	—	79	16	no	—
778	#535	—	79	8	no	—
779	#535	—	79	2	no	—
780	#535	C₂×D₇₉	1	2	yes	complemented
781	#534	—	79	4	no	—
782	#534	—	79	4	no	—
783	#534	—	79	4	no	—
784	#534	—	79	4	no	—
785	#534	—	79	4	no	—
786	#534	C₂×D₇₉	1	4	yes	complemented
787	#532	—	79	16	no	—
788	#532	—	79	8	no	—
789	C₂×#127	—	79	8	no	—
790	C₂×#127	—	79	4	no	—
791	C₂×#124	—	79	4	no	—
792	C₂×#124	—	79	8	no	—
793	#525	—	79	2	no	—
794	#525	—	79	2	no	—
795	#525	—	79	8	no	—
796	#525	—	79	8	no	—
797	#525	—	79	8	no	—
798	#525	—	79	8	no	—
799	#525	—	79	8	no	—
800	#525	—	79	2	no	—
801	#525	C₂×D₇₉	1	2	yes	complemented
802	C₂×#121	—	79	8	no	—
803	C₂×#121	—	79	8	no	—
804	C₂×#121	—	79	8	no	—
805	C₂×#120	—	79	4	no	—
806	C₂×#120	—	79	4	no	—
807	C₂×#120	—	79	8	no	—
808	C₂×#120	—	79	4	no	—
809	C₂×#120	C₂×D₇₉	1	4	yes	complemented
810	#520	—	79	8	no	—
811	#519	—	79	2	no	—
812	#518	—	79	1	no	—
813	#518	—	79	4	no	—
814	#518	C₂×D₇₉	1	1	yes	characteristic, complemented
815	C₄×#41	—	79	8	no	—
816	C₂×#117	—	79	2	no	—
817	C₂×#117	—	79	4	no	—
818	C₂⁵	—	79	2	no	—
819	C₂⁵	—	79	2	no	—
820	C₂⁵	C₂²×D₇₉	1	2	yes	—
821	2₋¹⁺⁴	—	158	16	no	—
822	2₋¹⁺⁴	—	158	32	no	—
823	H(5,𝔽₂)	—	2	8	no	—
824	H(5,𝔽₂)	—	158	32	no	—
825	H(5,𝔽₂)	—	158	64	no	—
826	H(5,𝔽₂)	—	158	64	no	—
827	H(5,𝔽₂)	—	158	32	no	—
828	H(5,𝔽₂)	—	158	8	no	—
829	C₂×#41	—	79	2	no	—
830	C₂×#41	—	79	16	no	—
831	C₂×#41	—	79	4	no	—
832	C₂×#41	—	79	4	no	—
833	C₂×#41	—	79	8	no	—
834	C₂×#41	—	79	8	no	—
835	C₂×#41	—	79	8	no	—
836	C₂×#41	—	79	4	no	—
837	C₂×#41	—	79	8	no	—
838	C₂×#41	—	79	8	no	—
839	C₂×#41	—	79	8	no	—
840	C₂×#41	—	79	2	no	—
841	C₂×#41	—	79	4	no	—
842	C₂×#41	—	79	8	no	—
843	C₂×#41	—	79	4	no	—
844	C₂×#41	—	79	2	no	—
845	C₂×#41	—	79	4	no	—
846	C₂×#41	—	79	4	no	—
847	C₂×#41	—	79	8	no	—
848	C₂×#41	—	79	4	no	—
849	C₂×#41	—	79	8	no	—
850	C₂×#41	—	79	4	no	—
851	C₂×#41	—	158	8	no	—
852	C₂×#41	—	158	8	no	—
853	C₂×#41	—	158	16	no	—
854	C₂×#41	—	158	32	no	—
855	C₂×#41	—	158	16	no	—
856	C₂×#41	—	158	8	no	—
857	C₂×#41	—	158	32	no	—
858	C₂×#41	—	158	32	no	—
859	C₂×#41	C₂²×D₇₉	1	2	yes	—
860	C₂×#41	C₂²×D₇₉	1	4	yes	complemented
861	C₂²×Q₈	—	79	2	no	—
862	C₂²×Q₈	—	79	4	no	—
863	C₂²×Q₈	—	79	1	no	—
864	C₂²×Q₈	—	79	1	no	—
865	C₂²×Q₈	—	79	4	no	—
866	C₂²×Q₈	—	79	4	no	—
867	C₂²×D₄	—	2	8	no	—
868	C₂²×D₄	—	79	2	no	—
869	C₂²×D₄	—	79	8	no	—
870	C₂²×D₄	—	79	8	no	—
871	C₂²×D₄	—	79	4	no	—
872	C₂²×D₄	—	79	8	no	—
873	C₂²×D₄	—	79	8	no	—
874	C₂²×D₄	—	79	4	no	—
875	C₂²×D₄	—	79	1	no	—
876	C₂²×D₄	—	79	2	no	—
877	C₂²×D₄	—	79	2	no	—
878	C₂²×D₄	—	79	1	no	—
879	C₂²×D₄	—	79	2	no	—
880	C₂²×D₄	—	79	2	no	—
881	C₂²×D₄	—	79	8	no	—
882	C₂²×D₄	—	79	16	no	—
883	C₂²×D₄	—	79	16	no	—
884	C₂²×D₄	—	79	4	no	—
885	C₂²×D₄	—	79	4	no	—
886	C₂²×D₄	—	79	4	no	—
887	C₂²×D₄	—	79	2	no	—
888	C₂²×D₄	—	79	8	no	—
889	C₂²×D₄	—	79	4	no	—
890	C₂²×D₄	—	79	16	no	—
891	C₂²×D₄	—	79	8	no	—
892	C₂²×D₄	—	79	8	no	—
893	C₂²×D₄	—	79	1	no	—
894	C₂²×D₄	—	79	1	no	—
895	C₂²×D₄	—	158	8	no	—
896	C₂²×D₄	—	158	16	no	—
897	C₂²×D₄	—	158	16	no	—
898	C₂²×D₄	—	158	16	no	—
899	C₂²×D₄	—	158	8	no	—
900	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
901	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
902	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
903	C₂²×D₄	C₂²×D₇₉	1	8	yes	—
904	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
905	C₂²×D₄	C₂²×D₇₉	1	4	yes	complemented
906	C₂²×D₄	C₂²×D₇₉	1	8	yes	complemented
907	C₂³×C₄	—	79	2	no	—
908	C₂³×C₄	—	79	1	no	—
909	C₂³×C₄	—	79	4	no	—
910	C₂³×C₄	—	79	2	no	—
911	C₂³×C₄	—	79	4	no	—
912	C₂³×C₄	—	79	4	no	—
913	C₂³×C₄	—	79	2	no	—
914	C₂³×C₄	—	79	1	no	—
915	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
916	C₄⋊Q₈	—	79	8	no	—
917	#127	—	79	16	no	—
918	#127	—	79	8	no	—
919	#127	—	79	4	no	—
920	#127	—	79	4	no	—
921	#127	—	79	16	no	—
922	#127	—	79	16	no	—
923	#127	—	79	4	no	—
924	#127	C₂²×D₇₉	1	4	yes	complemented
925	#124	—	79	4	no	—
926	#124	—	79	4	no	—
927	#124	—	79	16	no	—
928	#124	—	79	8	no	—
929	#124	—	79	16	no	—
930	#124	—	79	16	no	—
931	#124	—	79	8	no	—
932	#124	—	79	4	no	—
933	#124	C₂²×D₇₉	1	4	yes	complemented
934	#123	—	79	4	no	—
935	#123	—	79	8	no	—
936	#123	—	79	4	no	—
937	#123	—	79	8	no	—
938	#123	—	79	8	no	—
939	#123	—	79	4	no	—
940	#123	—	79	8	no	—
941	#123	—	79	8	no	—
942	#123	C₂²×D₇₉	1	4	yes	—
943	#123	C₂²×D₇₉	1	8	yes	complemented
944	C₂²⋊Q₈	—	79	4	no	—
945	C₂²⋊Q₈	—	79	4	no	—
946	C₂²⋊Q₈	—	79	8	no	—
947	C₂²⋊Q₈	—	79	16	no	—
948	C₂²⋊Q₈	—	79	4	no	—
949	C₂²⋊Q₈	—	79	8	no	—
950	C₂²⋊Q₈	—	79	16	no	—
951	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
952	#121	—	79	16	no	—
953	#121	—	79	8	no	—
954	#121	—	79	8	no	—
955	#121	—	79	16	no	—
956	#121	—	79	16	no	—
957	#121	—	79	4	no	—
958	#121	—	79	16	no	—
959	#121	—	79	8	no	—
960	#121	—	79	16	no	—
961	#121	—	79	16	no	—
962	#121	—	79	8	no	—
963	#121	—	79	4	no	—
964	#121	—	79	16	no	—
965	#121	—	79	8	no	—
966	#121	—	79	4	no	—
967	#121	—	79	8	no	—
968	#121	—	79	16	no	—
969	#121	—	79	8	no	—
970	#121	—	79	16	no	—
971	#121	—	79	16	no	—
972	#121	—	79	16	no	—
973	#121	—	79	8	no	—
974	#121	—	79	8	no	—
975	#121	C₂²×D₇₉	1	8	yes	complemented
976	#121	C₂²×D₇₉	1	4	yes	complemented
977	#121	C₂²×D₇₉	1	16	yes	complemented
978	#120	—	79	8	no	—
979	#120	—	79	4	no	—
980	#120	—	79	16	no	—
981	#120	—	79	8	no	—
982	#120	—	79	4	no	—
983	#120	—	79	8	no	—
984	#120	—	79	16	no	—
985	#120	—	79	16	no	—
986	#120	—	79	8	no	—
987	#120	—	79	8	no	—
988	#120	—	79	8	no	—
989	#120	—	79	4	no	—
990	#120	—	79	16	no	—
991	#120	—	79	16	no	—
992	#120	—	79	8	no	—
993	#120	—	79	8	no	—
994	#120	C₂²×D₇₉	1	8	yes	—
995	#120	C₂²×D₇₉	1	4	yes	—
996	#120	C₂²×D₇₉	1	16	yes	complemented
997	#120	C₂²×D₇₉	1	8	yes	complemented
998	C₄×Q₈	—	79	8	no	—
999	C₄×Q₈	—	79	8	no	—
1000	C₄×D₄	—	79	8	no	—
1001	C₄×D₄	—	79	16	no	—
1002	C₄×D₄	—	79	16	no	—
1003	C₄×D₄	—	79	8	no	—
1004	C₄×D₄	—	79	8	no	—
1005	C₄×D₄	—	79	16	no	—
1006	C₄×D₄	—	79	16	no	—
1007	C₄×D₄	—	79	16	no	—
1008	C₄×D₄	—	79	16	no	—
1009	C₄×D₄	—	79	8	no	—
1010	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1011	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1012	#117	—	79	2	no	—
1013	#117	—	79	4	no	—
1014	#117	—	79	4	no	—
1015	#117	—	79	8	no	—
1016	#117	—	79	8	no	—
1017	#117	—	79	8	no	—
1018	#117	—	79	4	no	—
1019	#117	C₂²×D₇₉	1	2	yes	—
1020	C₂×C₄⋊C₄	—	79	8	no	—
1021	C₂×C₄⋊C₄	—	79	4	no	—
1022	C₂×C₂²⋊C₄	—	79	4	no	—
1023	C₂×C₂²⋊C₄	—	79	8	no	—
1024	C₂×C₂²⋊C₄	—	79	8	no	—
1025	C₂×C₂²⋊C₄	—	79	8	no	—
1026	C₂×C₂²⋊C₄	—	79	4	no	—
1027	C₂×C₂²⋊C₄	—	79	16	no	—
1028	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	—
1029	C₂×C₂²⋊C₄	C₂²×D₇₉	1	8	yes	complemented
1030	C₂×C₄²	—	79	8	no	—
1031	C₂×C₄²	—	79	4	no	—
1032	C₂⁴	—	2	8	no	—
1033	C₂⁴	—	8	4	no	—
1034	C₂⁴	—	79	1	no	—
1035	C₂⁴	—	79	8	no	—
1036	C₂⁴	—	79	8	no	—
1037	C₂⁴	—	79	2	no	—
1038	C₂⁴	—	79	1	no	—
1039	C₂⁴	—	79	4	no	—
1040	C₂⁴	—	79	4	no	—
1041	C₂⁴	—	632	4	no	—
1042	C₂⁴	—	632	4	no	—
1043	C₂⁴	—	158	8	no	—
1044	C₂⁴	—	158	8	no	—
1045	C₂⁴	C₂³×D₇₉	1	8	yes	—
1046	C₂⁴	C₂³×D₇₉	1	2	yes	—
1047	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1048	C₂⁴	C₂³×D₇₉	1	4	yes	—
1049	C₂⁴	C₂³×D₇₉	1	2	yes	—
1050	#41	—	2	16	no	—
1051	#41	—	2	8	no	—
1052	#41	—	79	32	no	—
1053	#41	—	79	32	no	—
1054	#41	—	158	16	no	—
1055	#41	—	158	16	no	—
1056	#41	—	158	16	no	—
1057	#41	—	158	32	no	—
1058	#41	—	158	32	no	—
1059	#41	—	158	16	no	—
1060	#41	—	158	16	no	—
1061	#41	—	158	32	no	—
1062	#41	—	158	8	no	—
1063	#41	—	158	32	no	—
1064	#41	—	158	32	no	—
1065	#41	—	158	32	no	—
1066	#41	—	158	32	no	—
1067	#41	—	158	8	no	—
1068	#41	—	158	32	no	—
1069	#41	—	158	32	no	—
1070	#41	—	158	16	no	—
1071	#41	—	158	16	no	—
1072	#41	—	158	8	no	—
1073	C₂×Q₈	—	79	4	no	—
1074	C₂×Q₈	—	79	2	no	—
1075	C₂×Q₈	—	79	8	no	—
1076	C₂×Q₈	—	79	2	no	—
1077	C₂×Q₈	—	79	4	no	—
1078	C₂×Q₈	—	79	2	no	—
1079	C₂×Q₈	—	79	8	no	—
1080	C₂×Q₈	—	158	4	no	—
1081	C₂×Q₈	—	158	16	no	—
1082	C₂×Q₈	—	158	16	no	—
1083	C₂×Q₈	—	158	8	no	—
1084	C₂×Q₈	—	158	16	no	—
1085	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1086	C₂×D₄	—	2	8	no	—
1087	C₂×D₄	—	2	16	no	—
1088	C₂×D₄	—	2	32	no	—
1089	C₂×D₄	—	2	16	no	—
1090	C₂×D₄	—	2	4	no	—
1091	C₂×D₄	—	8	8	no	—
1092	C₂×D₄	—	79	16	no	—
1093	C₂×D₄	—	79	8	no	—
1094	C₂×D₄	—	79	16	no	—
1095	C₂×D₄	—	79	8	no	—
1096	C₂×D₄	—	79	8	no	—
1097	C₂×D₄	—	79	16	no	—
1098	C₂×D₄	—	79	4	no	—
1099	C₂×D₄	—	79	4	no	—
1100	C₂×D₄	—	79	8	no	—
1101	C₂×D₄	—	79	4	no	—
1102	C₂×D₄	—	79	8	no	—
1103	C₂×D₄	—	79	4	no	—
1104	C₂×D₄	—	79	2	no	—
1105	C₂×D₄	—	79	8	no	—
1106	C₂×D₄	—	79	8	no	—
1107	C₂×D₄	—	79	8	no	—
1108	C₂×D₄	—	79	4	no	—
1109	C₂×D₄	—	79	2	no	—
1110	C₂×D₄	—	79	4	no	—
1111	C₂×D₄	—	79	16	no	—
1112	C₂×D₄	—	79	8	no	—
1113	C₂×D₄	—	79	4	no	—
1114	C₂×D₄	—	79	4	no	—
1115	C₂×D₄	—	79	4	no	—
1116	C₂×D₄	—	79	2	no	—
1117	C₂×D₄	—	632	8	no	—
1118	C₂×D₄	—	632	16	no	—
1119	C₂×D₄	—	632	8	no	—
1120	C₂×D₄	—	632	8	no	—
1121	C₂×D₄	—	158	4	no	—
1122	C₂×D₄	—	158	16	no	—
1123	C₂×D₄	—	158	16	no	—
1124	C₂×D₄	—	158	8	no	—
1125	C₂×D₄	—	158	4	no	—
1126	C₂×D₄	—	158	8	no	—
1127	C₂×D₄	—	158	8	no	—
1128	C₂×D₄	—	158	8	no	—
1129	C₂×D₄	—	158	32	no	—
1130	C₂×D₄	—	158	32	no	—
1131	C₂×D₄	—	158	16	no	—
1132	C₂×D₄	—	158	64	no	—
1133	C₂×D₄	—	158	32	no	—
1134	C₂×D₄	—	158	16	no	—
1135	C₂×D₄	—	158	64	no	—
1136	C₂×D₄	—	158	32	no	—
1137	C₂×D₄	—	158	4	no	—
1138	C₂×D₄	—	158	8	no	—
1139	C₂×D₄	—	158	16	no	—
1140	C₂×D₄	—	158	32	no	—
1141	C₂×D₄	—	158	16	no	—
1142	C₂×D₄	—	158	4	no	—
1143	C₂×D₄	D₄×D₇₉	1	8	yes	complemented
1144	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1145	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1146	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1147	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1148	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1149	C₂×D₄	C₂³×D₇₉	1	16	yes	—
1150	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1151	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1152	C₂²×C₄	—	2	4	no	—
1153	C₂²×C₄	—	79	8	no	—
1154	C₂²×C₄	—	79	8	no	—
1155	C₂²×C₄	—	79	4	no	—
1156	C₂²×C₄	—	79	4	no	—
1157	C₂²×C₄	—	79	1	no	—
1158	C₂²×C₄	—	79	2	no	—
1159	C₂²×C₄	—	79	16	no	—
1160	C₂²×C₄	—	79	2	no	—
1161	C₂²×C₄	—	79	2	no	—
1162	C₂²×C₄	—	79	8	no	—
1163	C₂²×C₄	—	79	4	no	—
1164	C₂²×C₄	—	79	8	no	—
1165	C₂²×C₄	—	79	8	no	—
1166	C₂²×C₄	—	79	4	no	—
1167	C₂²×C₄	—	79	1	no	—
1168	C₂²×C₄	—	79	4	no	—
1169	C₂²×C₄	—	79	8	no	—
1170	C₂²×C₄	—	79	4	no	—
1171	C₂²×C₄	—	79	8	no	—
1172	C₂²×C₄	—	79	4	no	—
1173	C₂²×C₄	—	79	4	no	—
1174	C₂²×C₄	—	158	8	no	—
1175	C₂²×C₄	—	158	16	no	—
1176	C₂²×C₄	—	158	16	no	—
1177	C₂²×C₄	—	158	8	no	—
1178	C₂²×C₄	—	158	16	no	—
1179	C₂²×C₄	—	158	4	no	—
1180	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1181	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1182	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1183	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1185	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1186	C₄⋊C₄	—	79	8	no	—
1187	C₄⋊C₄	—	79	16	no	—
1188	C₄⋊C₄	—	79	8	no	—
1189	C₄⋊C₄	—	79	8	no	—
1190	C₄⋊C₄	—	79	4	no	—
1191	C₄⋊C₄	—	79	8	no	—
1192	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1193	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1194	C₂²⋊C₄	—	79	4	no	—
1195	C₂²⋊C₄	—	79	16	no	—
1196	C₂²⋊C₄	—	79	8	no	—
1197	C₂²⋊C₄	—	79	8	no	—
1198	C₂²⋊C₄	—	79	8	no	—
1199	C₂²⋊C₄	—	79	16	no	—
1200	C₂²⋊C₄	—	79	8	no	—
1201	C₂²⋊C₄	—	79	16	no	—
1202	C₂²⋊C₄	—	79	8	no	—
1203	C₂²⋊C₄	—	79	8	no	—
1204	C₂²⋊C₄	—	79	8	no	—
1205	C₂²⋊C₄	—	79	8	no	—
1206	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1207	C₂²⋊C₄	C₂³×D₇₉	1	16	yes	—
1208	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1209	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1210	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1211	C₄²	—	79	8	no	—
1212	C₄²	—	79	16	no	—
1213	C₄²	—	79	4	no	—
1214	C₄²	C₂³×D₇₉	1	4	yes	—
1215	C₂³	—	2	2	no	—
1216	C₂³	—	2	4	no	—
1217	C₂³	—	2	8	no	—
1218	C₂³	—	2	16	no	—
1219	C₂³	—	4	2	no	—
1220	C₂³	—	4	4	no	—
1221	C₂³	—	4	4	no	—
1222	C₂³	—	4	8	no	—
1223	C₂³	—	4	8	no	—
1224	C₂³	—	4	8	no	—
1225	C₂³	—	8	16	no	—
1226	C₂³	—	316	2	no	—
1227	C₂³	—	316	4	no	—
1228	C₂³	—	316	2	no	—
1229	C₂³	—	316	8	no	—
1230	C₂³	—	316	8	no	—
1231	C₂³	—	316	8	no	—
1232	C₂³	—	316	8	no	—
1233	C₂³	—	316	16	no	—
1234	C₂³	—	79	4	no	—
1235	C₂³	—	79	2	no	—
1236	C₂³	—	79	4	no	—
1237	C₂³	—	79	2	no	—
1238	C₂³	—	79	4	no	—
1239	C₂³	—	632	16	no	—
1240	C₂³	—	632	16	no	—
1241	C₂³	—	158	8	no	—
1242	C₂³	—	158	16	no	—
1243	C₂³	—	158	4	no	—
1244	C₂³	—	158	2	no	—
1245	C₂³	—	158	8	no	—
1246	C₂³	—	158	16	no	—
1247	C₂³	C₂×D₄×D₇₉	1	8	yes	—
1248	C₂³	C₂⁴×D₇₉	1	4	yes	—
1249	C₂³	C₂⁴×D₇₉	1	2	yes	—
1250	C₂³	C₂⁴×D₇₉	1	4	yes	—
1251	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1252	C₂³	C₂⁴×D₇₉	1	4	yes	—
1253	Q₈	—	2	4	no	—
1254	Q₈	—	79	16	no	—
1255	Q₈	—	158	8	no	—
1256	Q₈	—	158	16	no	—
1257	Q₈	—	158	4	no	—
1258	Q₈	—	158	4	no	—
1259	Q₈	—	158	4	no	—
1260	D₄	—	2	16	no	—
1261	D₄	—	2	8	no	—
1262	D₄	—	2	16	no	—
1263	D₄	—	2	8	no	—
1264	D₄	—	2	4	no	—
1265	D₄	—	4	8	no	—
1266	D₄	—	4	16	no	—
1267	D₄	—	316	8	no	—
1268	D₄	—	316	16	no	—
1269	D₄	—	316	16	no	—
1270	D₄	—	316	8	no	—
1271	D₄	—	316	16	no	—
1272	D₄	—	316	8	no	—
1273	D₄	—	79	32	no	—
1274	D₄	—	158	8	no	—
1275	D₄	—	158	8	no	—
1276	D₄	—	158	4	no	—
1277	D₄	—	158	8	no	—
1278	D₄	—	158	4	no	—
1279	D₄	—	158	8	no	—
1280	D₄	—	158	16	no	—
1281	D₄	—	158	16	no	—
1282	D₄	—	158	8	no	—
1283	D₄	—	158	16	no	—
1284	D₄	—	158	8	no	—
1285	D₄	—	158	8	no	—
1286	D₄	—	158	16	no	—
1287	D₄	—	158	8	no	—
1288	D₄	—	158	16	no	—
1289	D₄	—	158	8	no	—
1290	D₄	—	158	4	no	—
1291	D₄	C₂×D₄×D₇₉	1	16	yes	—
1292	C₂×C₄	—	2	2	no	—
1293	C₂×C₄	—	2	8	no	—
1294	C₂×C₄	—	2	8	no	—
1295	C₂×C₄	—	2	8	no	—
1296	C₂×C₄	—	4	8	no	—
1297	C₂×C₄	—	316	8	no	—
1298	C₂×C₄	—	316	8	no	—
1299	C₂×C₄	—	79	1	no	—
1300	C₂×C₄	—	79	4	no	—
1301	C₂×C₄	—	79	1	no	—
1302	C₂×C₄	—	79	4	no	—
1303	C₂×C₄	—	79	8	no	—
1304	C₂×C₄	—	79	16	no	—
1305	C₂×C₄	—	79	16	no	—
1306	C₂×C₄	—	79	8	no	—
1307	C₂×C₄	—	79	8	no	—
1308	C₂×C₄	—	79	8	no	—
1309	C₂×C₄	—	79	4	no	—
1310	C₂×C₄	—	79	2	no	—
1311	C₂×C₄	—	158	8	no	—
1312	C₂×C₄	—	158	16	no	—
1313	C₂×C₄	—	158	16	no	—
1314	C₂×C₄	—	158	8	no	—
1315	C₂×C₄	—	158	8	no	—
1316	C₂×C₄	—	158	16	no	—
1317	C₂×C₄	—	158	16	no	—
1318	C₂×C₄	—	158	2	no	—
1319	C₂×C₄	—	158	8	no	—
1320	C₂×C₄	—	158	8	no	—
1321	C₂×C₄	—	158	8	no	—
1322	C₂×C₄	C₂×D₄×D₇₉	1	4	yes	—
1323	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1324	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1325	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1326	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1327	C₂²	—	2	8	no	—
1328	C₂²	—	2	2	no	—
1329	C₂²	—	2	2	no	—
1330	C₂²	—	2	4	no	—
1331	C₂²	—	2	4	no	—
1332	C₂²	—	2	2	no	—
1333	C₂²	—	2	8	no	—
1334	C₂²	—	2	8	no	—
1335	C₂²	—	2	2	no	—
1336	C₂²	—	4	8	no	—
1337	C₂²	—	4	4	no	—
1338	C₂²	—	4	8	no	—
1339	C₂²	—	8	16	no	—
1340	C₂²	—	8	8	no	—
1341	C₂²	—	316	4	no	—
1342	C₂²	—	316	8	no	—
1343	C₂²	—	316	4	no	—
1344	C₂²	—	79	4	no	—
1345	C₂²	—	632	16	no	—
1346	C₂²	—	632	8	no	—
1347	C₂²	—	632	16	no	—
1348	C₂²	—	632	8	no	—
1349	C₂²	—	158	4	no	—
1350	C₂²	—	158	4	no	—
1351	C₂²	—	158	2	no	—
1352	C₂²	—	158	8	no	—
1353	C₂²	—	158	2	no	—
1354	C₂²	—	158	8	no	—
1355	C₂²	—	158	2	no	—
1356	C₂²	—	158	4	no	—
1357	C₂²	C₂²×D₄×D₇₉	1	2	yes	—
1358	C₂²	C₂²×D₄×D₇₉	1	8	yes	—
1359	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1360	C₄	—	2	2	no	—
1361	C₄	—	2	4	no	—
1362	C₄	—	2	8	no	—
1363	C₄	—	79	2	no	—
1364	C₄	—	79	2	no	—
1365	C₄	—	79	8	no	—
1366	C₄	—	158	2	no	—
1367	C₄	—	158	4	no	—
1368	C₄	—	158	8	no	—
1369	C₄	C₂²×D₄×D₇₉	1	4	yes	—
1370	C₂	—	2	2	no	—
1371	C₂	—	2	8	no	—
1372	C₂	—	4	2	no	—
1373	C₂	—	4	4	no	—
1374	C₂	—	4	4	no	—
1375	C₂	—	316	2	no	—
1376	C₂	—	316	4	no	—
1377	C₂	—	316	4	no	—
1378	C₂	—	158	4	no	—
1379	C₂	C₂³×D₄×D₇₉	1	1	yes	characteristic
1380	C₂	#23778210	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₇₉×#3484	C₂
hypercenter	#3484	D₇₉
hypocenter	C₇₉	#62852
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #3484

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂×#19099398	C₂	semidirect
2. C₂²×#14579206	C₂	semidirect
3. #23777186	C₂	semidirect
4. #23777172	C₂	semidirect
5. #23777063	C₂	semidirect
6. #23777060	C₂	semidirect
7. #23777056	C₂	semidirect
8. #23777054	C₂	semidirect
9. #23777036	C₂	semidirect
10. #23777035	C₂	semidirect
11. #23777032	C₂	semidirect
12. #23777031	C₂	semidirect
13. #23777029	C₂	semidirect
14. #23776730	C₂	semidirect
15. #23776726	C₂	semidirect
16. C₂×#19099128	C₂	semidirect
17. #535×D₇₉	C₂	semidirect
18. #23776598	C₂	semidirect
19. C₇₉×#3484	C₂	semidirect
21. C₂×#14579208	C₂²	semidirect
22. C₂×#14579208	C₂²	semidirect
24. C₂×#14579206	C₂²	semidirect
25. C₂×#14579206	C₂²	semidirect
26. C₂×#14579206	C₂²	semidirect
27. C₂×#14579206	C₂²	semidirect
28. C₂×#14579206	C₂²	semidirect
29. C₂²×#11929624	C₂²	semidirect
30. C₂²×#11929624	C₂²	semidirect
32. C₂²×#11929623	C₂²	semidirect
33. C₂²×#11929623	C₂²	semidirect
34. C₂²×#11929623	C₂²	semidirect
35. C₂²×#11929623	C₂²	semidirect
36. C₂×#41×D₇₉	C₂²	semidirect
37. C₂×#41×D₇₉	C₂²	semidirect
38. C₂³×C₂²⋊D₇₉	C₂²	semidirect
39. C₂³×C₂²⋊D₇₉	C₂²	semidirect
40. C₂²×D₄×D₇₉	C₂²	semidirect
41. C₂²×D₄×D₇₉	C₂²	semidirect
42. C₂²×D₄×D₇₉	C₂²	semidirect
43. #19099234	C₂²	semidirect
44. #19099233	C₂²	semidirect
45. #19099231	C₂²	semidirect
46. #19099231	C₂²	semidirect
47. #19099223	C₂²	semidirect
48. #19099222	C₂²	semidirect
49. #19099221	C₂²	semidirect
50. #19099219	C₂²	semidirect
51. #19099208	C₂²	semidirect
52. #19099207	C₂²	semidirect
53. #19099205	C₂²	semidirect
54. #19099203	C₂²	semidirect
55. #19099202	C₂²	semidirect
56. #19099201	C₂²	semidirect
57. #19099200	C₂²	semidirect
58. D₄×D₃₁₆	C₂²	semidirect
59. #19099197	C₂²	semidirect
60. D₄×C₂²⋊D₇₉	C₂²	semidirect
61. D₄×C₂²⋊D₇₉	C₂²	semidirect
62. D₄×C₂²⋊D₇₉	C₂²	semidirect
63. #19099195	C₂²	semidirect
64. #19099195	C₂²	semidirect
65. #19099143	C₂²	semidirect
66. #19099142	C₂²	semidirect
67. #19099140	C₂²	semidirect
68. #19099136	C₂²	semidirect
69. #19099135	C₂²	semidirect
70. #19099135	C₂²	semidirect
71. #19099132	C₂²	semidirect
72. #19099131	C₂²	semidirect
73. #19099130	C₂²	semidirect
74. #19099129	C₂²	semidirect
75. #19099129	C₂²	semidirect
76. #19099128	C₂²	semidirect
77. #19099128	C₂²	semidirect
78. #19099128	C₂²	semidirect
79. #19099128	C₂²	semidirect
80. #19099128	C₂²	semidirect
81. #19099128	C₂²	semidirect
82. #19099128	C₂²	semidirect
83. #19099127	C₂²	semidirect
84. #19099126	C₂²	semidirect
85. #19099125	C₂²	semidirect
86. #19099124	C₂²	semidirect
87. #19099123	C₂²	semidirect
88. #19099122	C₂²	semidirect
89. #19099122	C₂²	semidirect
90. #19099110	C₂²	semidirect
91. #19099108	C₂²	semidirect
92. C₂×#14579157	C₂²	semidirect
93. #127×D₇₉	C₂²	semidirect
94. C₂×#14579147	C₂²	semidirect
95. #124×D₇₉	C₂²	semidirect
96. #19099075	C₂²	semidirect
97. #19099074	C₂²	semidirect
98. #19099072	C₂²	semidirect
99. #19099071	C₂²	semidirect
100. #19099071	C₂²	semidirect
101. #19099070	C₂²	semidirect
102. #19099069	C₂²	semidirect
103. #19099069	C₂²	semidirect
104. C₂×#14579134	C₂²	semidirect
105. C₂×#14579133	C₂²	semidirect
106. #121×D₇₉	C₂²	semidirect
107. C₂×#14579131	C₂²	semidirect
108. C₂×#14579130	C₂²	semidirect
109. C₂×#14579129	C₂²	semidirect
110. #120×D₇₉	C₂²	semidirect
111. #19099042	C₂²	semidirect
112. #19099040	C₂²	semidirect
113. #19099038	C₂²	semidirect
114. #19099036	C₂²	semidirect
115. C₄×#11929623	C₂²	semidirect
116. C₂×#14579117	C₂²	semidirect
117. #117×D₇₉	C₂²	semidirect
118. C₂×H(5,𝔽₂)×C₇₉	C₂²	semidirect
119. C₂³×D₄×C₇₉	C₂²	semidirect
120. #546×C₇₉	C₂²	semidirect
121. D₄²×C₇₉	C₂²	semidirect
122. #535×C₇₉	C₂²	semidirect
123. #534×C₇₉	C₂²	semidirect
124. #525×C₇₉	C₂²	semidirect
125. C₂×#120×C₇₉	C₂²	semidirect
126. #518×C₇₉	C₂²	semidirect
136. C₂×#11929625	C₂³	semidirect
143. C₂×#11929624	C₂³	semidirect
144. C₂×#11929624	C₂³	semidirect
145. C₂×#11929624	C₂³	semidirect
150. C₂×#11929623	D₄	semidirect
158. C₂×#11929623	C₂³	semidirect
159. C₂×#11929623	C₂³	semidirect
160. C₂×#11929623	C₂³	semidirect
161. C₂×#11929623	C₂³	semidirect
162. C₂×#11929623	C₂³	semidirect
163. C₂×#11929623	C₂³	semidirect
168. C₂²×Dic₁₅₈	C₂³	semidirect
169. C₂²×Dic₁₅₈	C₂³	semidirect
170. C₂×Q₈×D₇₉	C₂³	semidirect
171. C₂×Q₈×D₇₉	C₂³	semidirect
174. C₂²×D₃₁₆	C₂³	semidirect
188. C₂²×C₂²⋊D₇₉	C₂³	semidirect
189. C₂²×C₂²⋊D₇₉	C₂³	semidirect
190. C₂²×C₂²⋊D₇₉	C₂³	semidirect
191. C₂²×C₂²⋊D₇₉	C₂³	semidirect
200. C₂×D₄×D₇₉	C₂³	semidirect
201. C₂×D₄×D₇₉	C₂³	semidirect
202. C₂×D₄×D₇₉	C₂³	semidirect
203. C₂×D₄×D₇₉	C₂³	semidirect
206. C₂³×Dic₇₉	C₂³	semidirect
210. C₂²×C₄×D₇₉	C₂³	semidirect
211. C₂²×C₄×D₇₉	C₂³	semidirect
212. #14579160	C₂³	semidirect
213. #14579158	C₂³	semidirect
214. #14579157	C₂³	semidirect
215. #14579157	C₂³	semidirect
216. #14579157	C₂³	semidirect
217. #14579157	C₂³	semidirect
218. #14579157	C₂³	semidirect
219. #14579157	C₂³	semidirect
220. #14579150	C₂³	semidirect
221. #14579149	C₂³	semidirect
222. #14579148	C₂³	semidirect
223. #14579147	C₂³	semidirect
224. #14579147	C₂³	semidirect
225. #14579147	C₂³	semidirect
226. #14579147	C₂³	semidirect
227. #14579147	C₂³	semidirect
228. #14579146	C₂³	semidirect
230. #14579145	C₂³	semidirect
232. #14579144	C₂³	semidirect
233. #14579143	C₂³	semidirect
235. #14579142	C₂³	semidirect
236. #14579141	C₂³	semidirect
237. #14579140	C₂³	semidirect
238. #14579139	C₂³	semidirect
239. #14579139	C₂³	semidirect
240. #14579138	C₂³	semidirect
241. #14579138	C₂³	semidirect
242. #14579137	C₂³	semidirect
243. #14579136	C₂³	semidirect
244. #14579136	C₂³	semidirect
245. #14579136	C₂³	semidirect
246. #14579135	C₂³	semidirect
247. #14579135	C₂³	semidirect
248. #14579135	C₂³	semidirect
249. #14579134	C₂³	semidirect
250. #14579134	C₂³	semidirect
251. #14579134	C₂³	semidirect
252. #14579134	C₂³	semidirect
253. #14579134	C₂³	semidirect
254. #14579134	C₂³	semidirect
255. #14579134	C₂³	semidirect
256. #14579133	C₂³	semidirect
257. #14579133	C₂³	semidirect
258. #14579133	C₂³	semidirect
259. #14579133	C₂³	semidirect
260. #14579133	C₂³	semidirect
261. #14579133	C₂³	semidirect
262. #14579133	C₂³	semidirect
263. #14579132	C₂³	semidirect
264. #14579132	C₂³	semidirect
265. #14579132	C₂³	semidirect
268. #14579131	C₂³	semidirect
269. #14579131	C₂³	semidirect
270. #14579131	C₂³	semidirect
271. #14579131	C₂³	semidirect
274. #14579130	C₂³	semidirect
275. #14579130	C₂³	semidirect
278. #14579129	C₂³	semidirect
279. #14579129	C₂³	semidirect
280. #14579129	C₂³	semidirect
281. #14579129	C₂³	semidirect
282. C₄×Dic₁₅₈	C₂³	semidirect
283. #14579126	C₂³	semidirect
284. C₄×D₃₁₆	C₂³	semidirect
285. D₄×Dic₇₉	C₂³	semidirect
286. D₄×Dic₇₉	C₂³	semidirect
287. #14579123	C₂³	semidirect
288. C₄×C₂²⋊D₇₉	C₂³	semidirect
289. C₄×C₂²⋊D₇₉	C₂³	semidirect
290. C₄×C₂²⋊D₇₉	C₂³	semidirect
291. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
292. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
293. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
295. #14579119	C₂³	semidirect
296. #14579118	C₂³	semidirect
299. #14579117	C₂³	semidirect
300. #14579117	C₂³	semidirect
301. C₂×Dic₇₉⋊C₄	C₂³	semidirect
302. C₄⋊C₄×D₇₉	C₂³	semidirect
304. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
305. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
306. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
308. C₂²⋊C₄×D₇₉	C₂³	semidirect
309. C₂×C₄×Dic₇₉	C₂³	semidirect
310. C₄²×D₇₉	C₂³	semidirect
314. C₂×#41×C₇₉	C₂³	semidirect
321. C₂²×D₄×C₇₉	C₂³	semidirect
322. C₂²×D₄×C₇₉	C₂³	semidirect
324. #127×C₇₉	C₂³	semidirect
325. #124×C₇₉	C₂³	semidirect
327. #123×C₇₉	C₂³	semidirect
328. C₂²⋊Q₈×C₇₉	C₂³	semidirect
329. #121×C₇₉	C₂³	semidirect
330. #121×C₇₉	C₂³	semidirect
331. #121×C₇₉	C₂³	semidirect
334. #120×C₇₉	C₂³	semidirect
335. #120×C₇₉	C₂³	semidirect
336. C₄×D₄×C₇₉	C₂³	semidirect
337. C₄×D₄×C₇₉	C₂³	semidirect
340. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
371. #11929623	C₂×D₄	semidirect
372. #11929623	C₂×D₄	semidirect
376. C₂×Dic₁₅₈	C₂×D₄	semidirect
408. C₂×C₂²⋊D₇₉	C₂×D₄	semidirect
438. C₂²×Dic₇₉	C₂×D₄	semidirect
453. C₂×C₄×D₇₉	C₂×D₄	semidirect
500. C₂×D₄×C₇₉	C₂×D₄	semidirect
704. #3484	D₇₉	semidirect
710. C₇₉	#62852	semidirect
720. C₂×H(5,𝔽₂)	C₂×D₇₉	semidirect
735. C₂³×D₄	C₂×D₇₉	semidirect
751. #546	C₂×D₇₉	semidirect
759. D₄²	C₂×D₇₉	semidirect
780. #535	C₂×D₇₉	semidirect
786. #534	C₂×D₇₉	semidirect
801. #525	C₂×D₇₉	semidirect
809. C₂×#120	C₂×D₇₉	semidirect
814. #518	C₂×D₇₉	semidirect
860. C₂×#41	C₂²×D₇₉	semidirect
905. C₂²×D₄	C₂²×D₇₉	semidirect
906. C₂²×D₄	C₂²×D₇₉	semidirect
924. #127	C₂²×D₇₉	semidirect
933. #124	C₂²×D₇₉	semidirect
943. #123	C₂²×D₇₉	semidirect
951. C₂²⋊Q₈	C₂²×D₇₉	semidirect
975. #121	C₂²×D₇₉	semidirect
976. #121	C₂²×D₇₉	semidirect
977. #121	C₂²×D₇₉	semidirect
996. #120	C₂²×D₇₉	semidirect
997. #120	C₂²×D₇₉	semidirect
1010. C₄×D₄	C₂²×D₇₉	semidirect
1011. C₄×D₄	C₂²×D₇₉	semidirect
1029. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1143. C₂×D₄	D₄×D₇₉	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×#19099398	2
C₂²×#14579206	2
#23777186	2
#23777172	2
#23777063	2
#23777060	2
#23777056	2
#23777054	2
#23777036	2
#23777035	2
#23777032	2
#23777031	2
#23777029	2
#23776730	2
#23776726	2
C₂×#19099128	2
#535×D₇₉	2
#23776598	2
C₇₉×#3484	2
#62852	79